Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
In this paper, we study the relative homological dimension based on the class of projectively
coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and …

Gorenstein projective precovers and finitely presented modules

S Estrada, A Iacob - arXiv preprint arXiv:2303.00213, 2023 - arxiv.org
The existence of the Gorenstein projective precovers over arbitrary rings is an open
question. It is known that if the ring has finite Gorenstein global dimension, then every …

Auslander conditions and tilting-like cotorsion pairs

J Wang, Y Li, J Wu, J Hu - Journal of Algebra, 2023 - Elsevier
We study homological behavior of modules satisfying the Auslander condition. Assume that
AC is the class of left R-modules satisfying the Auslander condition. It is proved that each …